For each of the following functions

MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For each of the following functions, find the domain and the range in interval notation. Give reasons for every conclusion you state: (i)

f(x)=4^{x}

(ii)

g(x)=-5^{x}

(iii)

h(x)=3\left(\dfrac{1}{2}\right)^{x}

(iv) Compare the three ranges obtained above and comment on how the sign of the constant in front of

b^{x}

affects the range.